https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:straight-lines-ncert-new/x0419e5b3b578592a:foot-of-the-perpendicular/v/foot-of-the-perpendicular-from-the-origin 2025-05-22T11:09:14.016569349Z Foot of the perpendicular from the origin In this video, we learn how to find the equation of a line when we know where the foot of the perpendicular from the origin is. We leverage two things - first, that the foot also lies on the line. Second, that the perpendicular lines have related slopes. Figuring out the slope of the perpendicular from origin helps us figure out the slope of the required line. Using both of these, we can figure out the equation of the line in slope point form. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Foot of the perpendicular from the origin In this video, we learn how to find the equation of a line when we know where the foot of the perpendicular from the origin is. We leverage two things - first, that the foot also lies on the line. Second, that the perpendicular lines have related slopes. Figuring out the slope of the perpendicular from origin helps us figure out the slope of the required line. Using both of these, we can figure out the equation of the line in slope point form. https://cdn.kastatic.org/ka-youtube-converted/KhywESXkLnw.mp4/KhywESXkLnw.mp4 362 Foot of the perpendicular https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:straight-lines-ncert-new/x0419e5b3b578592a:foot-of-the-perpendicular/e/foot-of-the-perpendicular-from-the-origin 2025-08-08T02:53:40.009522544Z Foot of the perpendicular from the origin Foot of the perpendicular from the origin Ashish Gupta exercise https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:straight-lines-ncert-new/x0419e5b3b578592a:foot-of-the-perpendicular/v/image-and-foot-of-the-perpendicular 2025-05-22T11:09:14.016569349Z Image and foot of the perpendicular In this video, we look at some applications in the Physics world of the concepts discussed in this chapter. We look at two scenarios. In the first one, we find the image of a point with respect to a line assuming that acts as a mirror. In the second scenario, we find the point of contact when we know the points from which incident and reflected rays pass. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Image and foot of the perpendicular In this video, we look at some applications in the Physics world of the concepts discussed in this chapter. We look at two scenarios. In the first one, we find the image of a point with respect to a line assuming that acts as a mirror. In the second scenario, we find the point of contact when we know the points from which incident and reflected rays pass. https://cdn.kastatic.org/ka-youtube-converted/tOkrL5kF5pA.mp4/tOkrL5kF5pA.mp4 543 Foot of the perpendicular https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:straight-lines-ncert-new/x0419e5b3b578592a:foot-of-the-perpendicular/e/image-and-foot-of-the-perpendicular 2025-08-08T02:53:40.009522544Z Image and foot of the perpendicular Image and foot of the perpendicular Ashish Gupta exercise https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:straight-lines-ncert-new/x0419e5b3b578592a:foot-of-the-perpendicular/v/proofs-perpendiculars-from-the-origin 2025-05-22T11:09:14.016569349Z Proofs - perpendiculars from the origin In this video, we look at three challenging problems where Geometry meets Algebra. In the first one, we prove a relationship between perpendiculars from origin on two given lines. In the second one, we prove a relationship between the perpendicular from origin and the intercepts formed by a given line. In the last one, we prove a relationship between the product of lengths of perpendiculars from two points on a given line. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Proofs - perpendiculars from the origin In this video, we look at three challenging problems where Geometry meets Algebra. In the first one, we prove a relationship between perpendiculars from origin on two given lines. In the second one, we prove a relationship between the perpendicular from origin and the intercepts formed by a given line. In the last one, we prove a relationship between the product of lengths of perpendiculars from two points on a given line. https://cdn.kastatic.org/ka-youtube-converted/94WOE4m9AuY.mp4/94WOE4m9AuY.mp4 635 Foot of the perpendicular